Least Common Multiple of 3016/648, 7601/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3016/648, 7601/489 quickly i.e. 22924616/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3016/648, 7601/489 is 22924616/3.

LCM(3016/648, 7601/489) = 22924616/3

LCM of 3016/648, 7601/489

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 3016/648,7601/489

Given numbers are 3016/648,7601/489

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 3016,7601

Least Common Multiple of Numerators i.e. LCM of 3016,7601 is 22924616.

GCF of Denominators means GCF of 648,489 as per the given fractions.

GCF of 648,489 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3016,7601

LCM of Fractions 3016/648,7601/489 is 22924616/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 22924616

Least Common Multiple of 3016,7601 with GCF Formula

Least Common Multiple of 3016,7601 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 3016,7601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3016,7601) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(3016,7601) x common factors =1 x 1 = 1

LCM(3016,7601) = ( 3016 × 7601 ) / 1

LCM(3016,7601) = 22924616 / 1

LCM(3016,7601) = 22924616


Lets's calculate GCF of 648,489

3 648, 489
216, 163

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22924616/3

Therefore the LCM of Fractions 3016/648,7601/489 is 22924616/3

Greatest Common Factor of 648,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,489 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 648,489 . The biggest common factor number is the GCF number.
So the greatest common factor 648,489 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3016/648, 7601/489

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 3016/648, 7601/489?

Answer: LCM of Numerators as per given numbers 3016/648, 7601/489 is

LCM of Numerators i.e. for 3016,7601 is 22924616

GCF of denominators i.e. for 648,489 is 3.

Thus, LCM of Fractions is 22924616/3.Finally, LCM of Fractions for 3016/648, 7601/489 is 22924616/3.